Chaotic dynamics of the fractional-order Lu system and its synchronization

In this Letter we numerically investigate the chaotic behaviors of the fractional-order U system. A striking finding is that the lowest order for this system to have chaos is 0.3, which is the lowest-order chaotic system among all the found chaotic systems reported in the literature to date. Period-doubling routes to chaos in the fractional-order Lu system are also found. Master-slave synchronization of chaotic fractional-order Lu systems with linear coupling is also studied. (c) 2006 Elsevier B.V. All rights reserved.